We Distribute, Yet Things Multiply
CBSE · Class 8 · Mathematics
All formulas from We Distribute, Yet Things Multiply in CBSE Class 8 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
1) Core Idea: Distributive Property
a(b + c) = ab + ac
(a + b)c = ac + bc
2) Increase and Decrease in Products
a(b + 1) = ab + a
(a + u)(b - v) = ab + ub - av - uv
(a - u)(b + v) = ab - ub + av - uv
(a - u)(b - v) = ab - ub - av + uv
3) Expansion Patterns
(a - u)(b + v) = ab - ub + av - uv
(a - u)(b - v) = ab - ub - av + uv
(a + b) × (a^2 + 2ab + b^2) = a^3 + 3a^2b + 3ab^2 + b^3
4) Fast Multiplication by 11
3874 × 11 = 3874(10 + 1) = 38740 + 3874
dcba × (10 + 1) = dcba × 10 + dcba
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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